Abstract
This paper investigates the application of finite difference methods to solve the Shallow Water Equations (SWE’s), in the context of mesh refinement through the introduction of an error tolerance. The problem is tackled by linearisation of the nonlinear differential equations through the discretization process. Once the set of equations have been linearised discretely, they are then solved. The solution set is then used to derive error values at nodes in space for individual time points.This error is then tested against a predefined tolerance; pending test results, the mesh is refined.
Original language | English |
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Title of host publication | UKSim 2015 |
Subtitle of host publication | Proceedings of UKSim-AMSS 17th International Conference on Computer Modelling and Simulation |
Editors | Zuwairie Ibrahim Zuwairie Ibrahim |
Place of Publication | United States |
Publisher | IEEE, Institute of Electrical and Electronics Engineers |
Pages | 55-60 |
Number of pages | 6 |
ISBN (Electronic) | 9780769549941 |
DOIs | |
Publication status | Published - 2013 |
Event | 2015 17th UKSim-AMSS International Conference on Modelling and Simulation (UKSim) - Cambridge University, Cambridge, United Kingdom Duration: 25 Mar 2015 → 27 Mar 2015 Conference number: 123957 |
Conference
Conference | 2015 17th UKSim-AMSS International Conference on Modelling and Simulation (UKSim) |
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Country/Territory | United Kingdom |
City | Cambridge |
Period | 25/03/15 → 27/03/15 |